2+4(x-1)=3(x-6)+4

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Solution for 2+4(x-1)=3(x-6)+4 equation: 


Simplifying
2 + 4(x + -1) = 3(x + -6) + 4

Reorder the terms:
2 + 4(-1 + x) = 3(x + -6) + 4
2 + (-1 * 4 + x * 4) = 3(x + -6) + 4
2 + (-4 + 4x) = 3(x + -6) + 4

Combine like terms: 2 + -4 = -2
-2 + 4x = 3(x + -6) + 4

Reorder the terms:
-2 + 4x = 3(-6 + x) + 4
-2 + 4x = (-6 * 3 + x * 3) + 4
-2 + 4x = (-18 + 3x) + 4

Reorder the terms:
-2 + 4x = -18 + 4 + 3x

Combine like terms: -18 + 4 = -14
-2 + 4x = -14 + 3x

Solving
-2 + 4x = -14 + 3x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-3x' to each side of the equation.
-2 + 4x + -3x = -14 + 3x + -3x

Combine like terms: 4x + -3x = 1x
-2 + 1x = -14 + 3x + -3x

Combine like terms: 3x + -3x = 0
-2 + 1x = -14 + 0
-2 + 1x = -14

Add '2' to each side of the equation.
-2 + 2 + 1x = -14 + 2

Combine like terms: -2 + 2 = 0
0 + 1x = -14 + 2
1x = -14 + 2

Combine like terms: -14 + 2 = -12
1x = -12

Divide each side by '1'.
x = -12

Simplifying
x = -12

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